Answer:
A
Step-by-step explanation:
9 = (1/27)^(a+3)
3² = (3^-3)^(a+3)
3² = 3^(-3a-9)
2 = -3a-9
-3a = 11
a = -11/3
The volume of the original prism is given by:
V1 = (10) * (2) * (h)
rewriting:
V1 = 20h
Where,
h: height
The volume of the second prism is given by:
V2 = (5) * (w) * (h)
We know that the height is the same.
As the volume is the same then:
(5) * (w) * (h) = 20h
Clearing w we have:
w = (20/5) = 4 cm
Answer:
The width, in centimeters, of the new prism is:
w = 4cm
